A child of mass 80 kg sits on a spinning disc and begins to slide if the coefficient of friction is 0.5 and the angular velocity of the rotating disc is 10rad/s. calculate the maximum radius R provided that the child can still sit and remain on the spinning disc? Compare your answer with the manual solution and use Matlab
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2. A child of mass 80 kg sits on a spinning disc and begins to slide if the coefficient of friction is 0.5 and the
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- A ball of radius Ris rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Image size: Select the correct answer Ου-R/ω Ου- 1/ω O v= w Ου-ω/R O V = RwMacmillan Learning Your computer has an optical disk drive that can spin up to 10,000 rpm (which is about 1045 rad/s). If a certain disk is spun at 352.9 rad/s during the time it is being read, and then comes to rest over 0.569 seconds, what is the magnitude of the average angular acceleration of the disk? average angular acceleration: If the disk is 0.12 m in diameter, what is the magnitude of the linear acceleration of a point 1/3 of the way out from the center of the disk? linear acceleration: x10 rad/s² TOOLS m/s²Your roommate is working on his bicycle and has the bike upside down. He spins the 56.0 cmcm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second. What is the pebble's acceleration? Express your answer with the appropriate units. The answer is NOT 110 49.7 49.8 or 0.63
- 5. A block m= 5kg sits on a horizontal surface with coefficient of u = 0.2 between the block and the surface. A string runs from this block over a cylinder wheel of radius R = 10 cm and mass m, =2 kg and is attached to a hanging 7 kg friction mass. a. Find the acceleration of the masses, the angular acceleration of the wheel, and the tension in the string on each side. b. Use acceleration to find the velocity after block M moved down by h= 0.5m MA marching band is performing a routine in which all players form a line that rotates about the center player C. The players complete one full 360 degrees rotation in one minute and are always in a line. Of players A and B, which player has the greater linear speed v and which player has the greater angular speed w A. Player A has a greater linear speed v, but they have the same angular speed w. B.Player B has a greater angular speed w, but they have the same linear speed v. C.Player A has a greater angular speed w, but they have the same linear speed v. D.Player B has a greater linear speed v, but they have the same angular speed wA tennis ball, starting from rest, rolls down the hill in the figure. At the end of the hill the ball becomes airborne, leaving at an angle of 35° with respect to the ground. Treat the ball as a thin-walled spherical shell, and determine the range x. Number i eTextbook and Media Save for Later 12 W S #3 1.8 m 135 Units Attempts: 0 of 3 used Submit Answer APR 2 tv I all A 80 F3 a F4 E $ 14 95 F5 MacBook Air % 50 6 C F6 27 & < F7 R T Y U D F G H * 00 8 DII F8 D F9 ( 9 O A F10 F11 t O { P [ J K L X C V B N M H command ? H command option
- You are riding your bicycle down the road and decide to stop to take in the scenery. Initially, your bicycle tires are rotating at a frequency of 7 times per second. If it takes your bicycle 50 revolutions to come to a full stop, what is the magnitude of the angular acceleration (assume your acceleration is constant). Give your answer in units of radians per second squared1. The propeller of a World War II fighter plane is 2.2 m in diameter. (a) What is its angular velocity in radians per second if it spins at 1300 rev / min? W= rad/s (b) What is the linear speed of its tip at this angular velocity if the plane is stationary on the tarmac? m/s V= (c) What is the centripetal acceleration of the propeller tip under these conditions? Calculate it in meters per second squared ac= m/s² Compare the centripetal acceleration to the acceleration due to gravity g. Is the centripetal acceleration very large or very small compared to g? ac gHow much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.0 cm and a mass of 15.8 g. The laser scans at a constant tangential velocity of 1.20 m/s. Assume that the music is first detected at a radius of 29.0 mm from the center of the disk. Ignore the small circular hole at the CD’s center. in J
- 1. The horizontal circular platform weighs 500 lb and has a radius of gyration of kz = 8 ft from the z-axis passing through O. The platform is free to rotate about the z-axis and is initially at rest. A person having a weight of 150 lb begins to run along the edge in a circular path of radius 10 ft. If they maintain a speed of 4 ft/s relative to the platform, determine the angular velocity of the 10 ft platform. Neglect friction. I don't think we have dealt with relative velocity in this context, but it follows our earlier relative velocity treatment. Here all speeds are in the t-direction. vp is the speed of the person, and vp is the speed of the disk at the location of the person. Then vp = vp + Vp/D, same as before. You are given vpp = 4 ft/s.Multiple-Concept Example 7 deals with the concepts that are important in this problem. A penny is placed at the outer edge of a disk (radius = 0.168 m) that rotates about an axis perpendicular to the plane of the disk at its center. The period of the rotation is 1.57 s. Find the minimum coefficient of friction necessary to allow the penny to rotate along with the disk. μs = Number Type your answer here Units Choose your answer here